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Finding the Fourth Proportional to 8,668.90, 11,959.86 and 5,686.39

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Solution

The fourth proportional to 8,668.90, 11,959.86 and 5,686.39 is: 7,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.90 : 11,959.86 = 5,686.39 : x
  2. Step 2: Convert to fraction form
    8,668.90/11,959.86 = 5,686.39/x
  3. Step 3: Cross multiply
    8,668.90x = 11,959.86 × 5,686.39
  4. Step 4: Simplify right side
    8,668.90x = 68,008,428.31
  5. Step 5: Solve for x
    x = 68,008,428.31/8,668.90
  6. Step 6: Final answer
    x = 7,845.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.